## Detail Page

written by Andrew Duffy
This interactive simulation models the motion of a simple pendulum.  Users can change length, initial angle, and mass. Adjust the acceleration due to gravity to simulate pendulum motion on another planet. Graphs of angular position, angular velocity, and angular acceleration may be displayed, as well as energy bar graphs and free-body diagrams.

This applet was created with EJS, Easy Java Simulations, a modeling tool that allows users without formal programming experience to generate computer models and simulations.
Subjects Levels Resource Types
Classical Mechanics
- Newton's Second Law
= Force, Acceleration
- Work and Energy
= Conservation of Energy
Oscillations & Waves
- Oscillations
= Pendula
- High School
- Middle School
- Instructional Material
= Interactive Simulation
- Audio/Visual
= Movie/Animation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
• Currently 0.0/5

Want to rate this material?

Access Rights:
Free access
This material is released under a GNU General Public License Version 3 license.
Rights Holder:
Andrew Duffy, Boston University
Keywords:
SHM, acceleration, angular acceleration, angular velocity, energy bar chart, kinetic energy, oscillation, pendula, pendulum, potential energy, simple harmonic motion, simple harmonic oscillation
Record Cloner:
Metadata instance created September 2, 2009 by Elijah Lee
Record Updated:
September 28, 2012 by Caroline Hall
Last Update
when Cataloged:
August 27, 2009
Other Collections:

### AAAS Benchmark Alignments (2008 Version)

#### 4. The Physical Setting

4E. Energy Transformations
• 9-12: 4E/H1. Although the various forms of energy appear very different, each can be measured in a way that makes it possible to keep track of how much of one form is converted into another. Whenever the amount of energy in one place diminishes, the amount in other places or forms increases by the same amount.
• 9-12: 4E/H9. Many forms of energy can be considered to be either kinetic energy, which is the energy of motion, or potential energy, which depends on the separation between mutually attracting or repelling objects.
4F. Motion
• 6-8: 4F/M3a. An unbalanced force acting on an object changes its speed or direction of motion, or both.
• 9-12: 4F/H8. Any object maintains a constant speed and direction of motion unless an unbalanced outside force acts on it.

#### 11. Common Themes

11B. Models
• 3-5: 11B/E3. A model of something is similar to, but not exactly like, the thing being modeled. Some models are physically similar to what they are representing, but others are not.
• 6-8: 11B/M2. Mathematical models can be displayed on a computer and then modified to see what happens.

### Common Core State Standards for Mathematics Alignments

#### Standards for Mathematical Practice (K-12)

MP.4 Model with mathematics.

#### Functions (8)

Use functions to model relationships between quantities. (8)
• 8.F.5 Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

#### High School — Algebra (9-12)

Creating Equations? (9-12)
• A-CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

#### High School — Functions (9-12)

Interpreting Functions (9-12)
• F-IF.7.e Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
Trigonometric Functions (9-12)
• F-TF.1 Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
• F-TF.4 (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
• F-TF.5 Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.?
ComPADRE is beta testing Citation Styles!

AIP Format
A. Duffy, (2008), WWW Document, (http://physics.bu.edu/~duffy/Ejs/EP_chapter12/pendulum_v2d.html).
AJP/PRST-PER
A. Duffy, Boston University Physics Easy Java Simulation: Simple Pendulum, (2008), <http://physics.bu.edu/~duffy/Ejs/EP_chapter12/pendulum_v2d.html>.
APA Format
Duffy, A. (2009, August 27). Boston University Physics Easy Java Simulation: Simple Pendulum. Retrieved September 15, 2019, from http://physics.bu.edu/~duffy/Ejs/EP_chapter12/pendulum_v2d.html
Chicago Format
Duffy, Andrew. Boston University Physics Easy Java Simulation: Simple Pendulum. August 27, 2009. http://physics.bu.edu/~duffy/Ejs/EP_chapter12/pendulum_v2d.html (accessed 15 September 2019).
MLA Format
Duffy, Andrew. Boston University Physics Easy Java Simulation: Simple Pendulum. 2008. 27 Aug. 2009. 15 Sep. 2019 <http://physics.bu.edu/~duffy/Ejs/EP_chapter12/pendulum_v2d.html>.
BibTeX Export Format
@misc{ Author = "Andrew Duffy", Title = {Boston University Physics Easy Java Simulation: Simple Pendulum}, Volume = {2019}, Number = {15 September 2019}, Month = {August 27, 2009}, Year = {2008} }
Refer Export Format

%A Andrew Duffy
%T Boston University Physics Easy Java Simulation: Simple Pendulum
%D August 27, 2009
%U http://physics.bu.edu/~duffy/Ejs/EP_chapter12/pendulum_v2d.html
%O application/java

EndNote Export Format

%0 Electronic Source
%A Duffy, Andrew
%D August 27, 2009
%T Boston University Physics Easy Java Simulation: Simple Pendulum
%V 2019
%N 15 September 2019
%8 August 27, 2009
%9 application/java
%U http://physics.bu.edu/~duffy/Ejs/EP_chapter12/pendulum_v2d.html

Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.

Citation Source Information

The AIP Style presented is based on information from the AIP Style Manual.

The APA Style presented is based on information from APA Style.org: Electronic References.

The Chicago Style presented is based on information from Examples of Chicago-Style Documentation.

The MLA Style presented is based on information from the MLA FAQ.

This resource is stored in 8 shared folders.

You must login to access shared folders.

### Boston University Physics Easy Java Simulation: Simple Pendulum:

Covers the Same Topic As Science NetLinks: Exploring Pendulums

A standards-based module on the pendulum for grades 7-9 that includes lesson plan, student activity sheets, assessment, related simulations, and background information.

relation by Caroline Hall
Is Based On Easy Java Simulations Modeling and Authoring Tool

A link to the Easy Java Simulations Modeling and Authoring tool, needed to explore the computational model used in the simple pendulum model (cost free)

relation by Caroline Hall
Is Part Of http://physics.bu.edu/~duffy/Ejs/

This is the full index of Easy Java Simulations (EJS) by author Andrew Duffy, created for first-semester introductory physics.  EJS is a modeling tool developed by the Open Source Physics project.

relation by Caroline Hall

Know of another related resource? Login to relate this resource to it.
Save to my folders

### Related Materials

Covers the Same Topic As Is Based On Is Part Of